2656625040 has 400 divisors, whose sum is σ = 9733394880. Its totient is φ = 670602240.

The previous prime is 2656625029. The next prime is 2656625057. The reversal of 2656625040 is 405266562.

2656625040 = 55² + 56² + ... + 1997².

2656625040 is a `hidden beast` number, since 2 + 6 + 566 + 2 + 50 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2656624986 and 2656625004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12590535 + ... + 12590745.

Almost surely, 2^2656625040 is an apocalyptic number.

2656625040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2656625040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866697440).

2656625040 is an abundant number, since it is smaller than the sum of its proper divisors (7076769840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2656625040 is a wasteful number, since it uses less digits than its factorization.

2656625040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2656625040 is about 51542.4586142338. The cubic root of 2656625040 is about 1384.9797405231.

The spelling of 2656625040 in words is "two billion, six hundred fifty-six million, six hundred twenty-five thousand, forty".